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Finding the Fourth Proportional to 1,249.81, 1,874.71 and 518.98

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Solution

The fourth proportional to 1,249.81, 1,874.71 and 518.98 is: 778.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.81 : 1,874.71 = 518.98 : x
  2. Step 2: Convert to fraction form
    1,249.81/1,874.71 = 518.98/x
  3. Step 3: Cross multiply
    1,249.81x = 1,874.71 × 518.98
  4. Step 4: Simplify right side
    1,249.81x = 972,937.00
  5. Step 5: Solve for x
    x = 972,937.00/1,249.81
  6. Step 6: Final answer
    x = 778.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.